document.write( "Question 1122915: The side length of a square starts at 0 cm and then begins increasing at a constant rate of 9 cm per second. \r
\n" ); document.write( "\n" ); document.write( "a. Write a formula that expresses the side length of the square in cm, s
\n" ); document.write( ",in terms of the number of seconds t since the square started growing.\r
\n" ); document.write( "\n" ); document.write( "s=\r
\n" ); document.write( "\n" ); document.write( "b Write a formula that expresses the area of the square in cm2, A, in terms of the side length of the square in cm, s.\r
\n" ); document.write( "\n" ); document.write( "A=\r
\n" ); document.write( "\n" ); document.write( "c. Write a formula that expresses the area of the square in cm2, A, in terms of the number of seconds t since the square started growing.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A=\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "d. Suppose the function f determines the area of the square in cm2 given a number of seconds t since the square started growing. Write a function formula for f.\r
\n" ); document.write( "\n" ); document.write( "f(t)
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Algebra.Com's Answer #739100 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
s=9t, where t=seconds, and units are cm.
\n" ); document.write( "A=s^2
\n" ); document.write( "A=81t^2\r
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\n" ); document.write( "\n" ); document.write( "at 1 second, 81 cm^2
\n" ); document.write( "2--324 cm^2
\n" ); document.write( "3--729 cm^2
\n" ); document.write( "4--1296 cm^2
\n" ); document.write( "f(t)=[9^2(t+1)^2-t^2]
\n" ); document.write( "This is f(t)=81 (2t+1)
\n" ); document.write( "so at 3 seconds 4 seconds will be 81(7) or 567 cm^2, 1296-729.
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